Table of Contents
Algebra
Volume 2013, Article ID 460582, 8 pages
http://dx.doi.org/10.1155/2013/460582
Research Article

A Morphism Double Category and Monoidal Structure

1School of Mathematics, Harish Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad, Uttar Pradesh 211 019, India
2S. N. Bose National Centre for Basic Sciences, Block JD, Sector III, Salt Lake, Kolkata, West Bengal 700098, India
3Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, USA

Received 15 November 2012; Revised 13 February 2013; Accepted 14 February 2013

Academic Editor: Dae San Kim

Copyright © 2013 Saikat Chatterjee et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We provide a recipe for “fattening” a category that leads to the construction of a double category. Motivated by an example where the underlying category has vector spaces as objects, we show how a monoidal category leads to a law of composition, satisfying certain coherence properties, on the object set of the fattened category.